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Finding the Fourth Proportional to 1,302.11, 1,951.73 and 521.93

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Solution

The fourth proportional to 1,302.11, 1,951.73 and 521.93 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.11 : 1,951.73 = 521.93 : x
  2. Step 2: Convert to fraction form
    1,302.11/1,951.73 = 521.93/x
  3. Step 3: Cross multiply
    1,302.11x = 1,951.73 × 521.93
  4. Step 4: Simplify right side
    1,302.11x = 1,018,666.44
  5. Step 5: Solve for x
    x = 1,018,666.44/1,302.11
  6. Step 6: Final answer
    x = 782.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.